editing disabled

Omnitetrachordal MOS scale
12L+5s
17 tones (7+3+7)

Helmholtz / schismatic

P = 3.8459060415 (L=256/243, s=531441/524288)
Q = 29.4213422908 (4/3 = 5L+1.5s)

L = 70.59 to 100.00 cents (90.22 cents @ P, 98.60 cents @ Q)
s = 0.00 to 70.59 cents (23.46 cents @ P, 3.35 cents @ Q)

9/8 = 2L+s (200.00 to 211.76 cents)
4/3 = 5L+2s (494.12 to 500.00 cents)
generator = 4/3

notable EDOs: 29, 41, 46, 53, 65

symmetric mode: LsLLLsLLsLLsLLLsL

all modes:

LsLLLsL LsL LsLLLsL


sLLLsLL sLL sLLLsLL


LLLsLLs LLs LLLsLLs

LLs LLsLLsL LLsLLsL
LLsLLsL LsL LLsLLsL

LsL LsLLsLL LsLLsLL
LsLLsLL sLL LsLLsLL

sLL sLLsLLL sLLsLLL


LLs LLsLLLs LLsLLLs

LLsLLsL LLsLLsL LLs
LsL LsLLLsL LsLLLsL

LsLLsLL LsLLsLL LsL
sLL sLLLsLL sLLLsLL

sLLsLLL sLLsLLL sLL
LLs LLLsLLs LLLsLLs

LLsLLLs LLsLLLs LLs
LsL LLsLLsL LLsLLsL

LsLLLsL LsLLLsL LsL
sLL LsLLsLL LsLLsLL

sLLLsLL sLLLsLL sLL


LLLsLLs LLLsLLs LLs

LLsLLsL LLs LLsLLsL
LLsLLsL LLsLLsL LsL

LsLLsLL LsL LsLLsLL
LsLLsLL LsLLsLL sLL

sLLsLLL sLL sLLsLLL


LLsLLLs LLs LLsLLLs


17_12_05_LLLsLLs_LLs_LLLsLLs.png

See also


References

  • Noted as omnitetrachordal by Paul Erlich no later than 2002. See tuning-math list messages 3685 and 10987.